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Finding the Fourth Proportional to 627.07, 865.75 and 403.11

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Solution

The fourth proportional to 627.07, 865.75 and 403.11 is: 556.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.07 : 865.75 = 403.11 : x
  2. Step 2: Convert to fraction form
    627.07/865.75 = 403.11/x
  3. Step 3: Cross multiply
    627.07x = 865.75 × 403.11
  4. Step 4: Simplify right side
    627.07x = 348,988.15
  5. Step 5: Solve for x
    x = 348,988.15/627.07
  6. Step 6: Final answer
    x = 556.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.